Gudhi::cubical_complex::Bitmap_cubical_complex< T > Class Template Reference

Cubical complex represented as a bitmap. More...

Classes
class	Filtration_simplex_range
	Filtration_simplex_range provides the ranges for Filtration_simplex_iterator. More...
class	Skeleton_simplex_range
	Class needed for compatibility with Gudhi. Not useful for other purposes. More...

Public Types
typedef std::vector< Simplex_handle >::iterator	Boundary_simplex_iterator

Public Member Functions
	Bitmap_cubical_complex (const char *perseus_style_file)
	Bitmap_cubical_complex (const std::vector< unsigned > &dimensions, const std::vector< Filtration_value > &top_dimensional_cells)
	Bitmap_cubical_complex (const std::vector< unsigned > &dimensions, const std::vector< Filtration_value > &top_dimensional_cells, std::vector< bool > directions_in_which_periodic_b_cond_are_to_be_imposed)
virtual	~Bitmap_cubical_complex ()
std::size_t	num_simplices () const
std::size_t	dimension () const
unsigned	dimension (Simplex_handle sh) const
Filtration_value	filtration (Simplex_handle sh)
Simplex_key	key (Simplex_handle sh) const
Simplex_handle	simplex (Simplex_key key)
void	assign_key (Simplex_handle sh, Simplex_key key)
void	initialize_simplex_associated_to_key ()
Boundary_simplex_range	boundary_simplex_range (Simplex_handle sh)
Filtration_simplex_range	filtration_simplex_range ()
std::pair< Simplex_handle, Simplex_handle >	endpoints (Simplex_handle sh)
Skeleton_simplex_range	skeleton_simplex_range (unsigned dimension)

Static Public Member Functions
static Simplex_handle	null_simplex ()
static Simplex_key	null_key ()

Detailed Description

template<typename T>
class Gudhi::cubical_complex::Bitmap_cubical_complex< T >

Cubical complex represented as a bitmap.

This is a Bitmap_cubical_complex class. It joints a functionalities of Bitmap_cubical_complex_base and Bitmap_cubical_complex_periodic_boundary_conditions_base classes into Gudhi persistent homology engine. It is a template class that inherit from its template parameter. The template parameter is supposed to be either Bitmap_cubical_complex_base or Bitmap_cubical_complex_periodic_boundary_conditions_base class.

Examples:

Bitmap_cubical_complex/cubical_complex_persistence.cpp, Bitmap_cubical_complex/periodic_cubical_complex_persistence.cpp, and Bitmap_cubical_complex/Random_bitmap_cubical_complex.cpp.

Member Typedef Documentation

Boundary_simplex_iterator

template<typename T>

typedef std::vector<Simplex_handle>::iterator Gudhi::cubical_complex::Bitmap_cubical_complex< T >::Boundary_simplex_iterator

Boundary_simplex_range class provides ranges for boundary iterators.

Constructor & Destructor Documentation

Bitmap_cubical_complex() [1/3]

template<typename T>

Gudhi::cubical_complex::Bitmap_cubical_complex< T >::Bitmap_cubical_complex ( const char *  perseus_style_file )

inline

Constructor form a Perseus-style file.

Bitmap_cubical_complex() [2/3]

template<typename T>

Gudhi::cubical_complex::Bitmap_cubical_complex< T >::Bitmap_cubical_complex ( const std::vector< unsigned > &  dimensions, const std::vector< Filtration_value > &  top_dimensional_cells  )

inline

Constructor that requires vector of elements of type unsigned, which gives number of top dimensional cells in the following directions and vector of element of a type T with filtration on top dimensional cells.

Bitmap_cubical_complex() [3/3]

template<typename T>

Gudhi::cubical_complex::Bitmap_cubical_complex< T >::Bitmap_cubical_complex ( const std::vector< unsigned > &  dimensions, const std::vector< Filtration_value > &  top_dimensional_cells, std::vector< bool >  directions_in_which_periodic_b_cond_are_to_be_imposed  )

inline

Constructor that requires vector of elements of type unsigned, which gives number of top dimensional cells in the following directions and vector of element of a type Filtration_value with filtration on top dimensional cells. The last parameter of the constructor is a vector of boolean of a length equal to the dimension of cubical complex. If the position i on this vector is true, then we impose periodic boundary conditions in this direction.

~Bitmap_cubical_complex()

template<typename T>

virtual Gudhi::cubical_complex::Bitmap_cubical_complex< T >::~Bitmap_cubical_complex ( )

inlinevirtual

Destructor of the Bitmap_cubical_complex class.

Member Function Documentation

assign_key()

template<typename T>

void Gudhi::cubical_complex::Bitmap_cubical_complex< T >::assign_key ( Simplex_handle  sh, Simplex_key  key  )

inline

Assign key to a cube pointed by the Simplex_handle

boundary_simplex_range()

template<typename T>

Boundary_simplex_range Gudhi::cubical_complex::Bitmap_cubical_complex< T >::boundary_simplex_range ( Simplex_handle  sh )

inline

boundary_simplex_range creates an object of a Boundary_simplex_range class that provides ranges for the Boundary_simplex_iterator.

dimension() [1/2]

template<typename T>

std::size_t Gudhi::cubical_complex::Bitmap_cubical_complex< T >::dimension ( ) const

inline

Returns dimension of the complex.

dimension() [2/2]

template<typename T>

unsigned Gudhi::cubical_complex::Bitmap_cubical_complex< T >::dimension ( Simplex_handle  sh ) const

inline

Return dimension of a cell pointed by the Simplex_handle.

endpoints()

template<typename T>

std::pair<Simplex_handle, Simplex_handle> Gudhi::cubical_complex::Bitmap_cubical_complex< T >::endpoints ( Simplex_handle  sh )

inline

Function needed for compatibility with Gudhi. Not useful for other purposes.

filtration()

template<typename T>

Filtration_value Gudhi::cubical_complex::Bitmap_cubical_complex< T >::filtration ( Simplex_handle  sh )

inline

Return the filtration of a cell pointed by the Simplex_handle.

filtration_simplex_range()

template<typename T>

Filtration_simplex_range Gudhi::cubical_complex::Bitmap_cubical_complex< T >::filtration_simplex_range ( )

inline

filtration_simplex_range creates an object of a Filtration_simplex_range class that provides ranges for the Filtration_simplex_iterator.

initialize_simplex_associated_to_key()

template<typename T >

void Gudhi::cubical_complex::Bitmap_cubical_complex< T >::initialize_simplex_associated_to_key

(

)

Function called from a constructor. It is needed for Filtration_simplex_iterator to work.

key()

template<typename T>

Simplex_key Gudhi::cubical_complex::Bitmap_cubical_complex< T >::key ( Simplex_handle  sh ) const

inline

Return the key of a cube pointed by the Simplex_handle.

null_key()

template<typename T>

static Simplex_key Gudhi::cubical_complex::Bitmap_cubical_complex< T >::null_key ( )

inlinestatic

Return a key which is not a key of any cube in the considered data structure.

null_simplex()

template<typename T>

static Simplex_handle Gudhi::cubical_complex::Bitmap_cubical_complex< T >::null_simplex ( )

inlinestatic

Returns a Simplex_handle to a cube that do not exist in this complex.

num_simplices()

template<typename T>

std::size_t Gudhi::cubical_complex::Bitmap_cubical_complex< T >::num_simplices ( ) const

inline

Returns number of all cubes in the complex.

simplex()

template<typename T>

Simplex_handle Gudhi::cubical_complex::Bitmap_cubical_complex< T >::simplex ( Simplex_key  key )

inline

Return the Simplex_handle given the key of the cube.

skeleton_simplex_range()

template<typename T>

Skeleton_simplex_range Gudhi::cubical_complex::Bitmap_cubical_complex< T >::skeleton_simplex_range ( unsigned  dimension )

inline

Function needed for compatibility with Gudhi. Not useful for other purposes.

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The documentation for this class was generated from the following file:

• include/gudhi/Bitmap_cubical_complex.h